0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 01:59:49 EDT 2025 0.12/0.34 % CPUTime : 0.22/0.36 This is a FOF_ problem 0.22/0.36 Running first-order theorem proving 0.22/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.42 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (23579)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3341122120:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi) 0.22/0.43 % (23579)Refutation not found, incomplete strategy% (23579)------------------------------ 0.22/0.43 % (23579)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.43 % (23579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.43 % (23579)Termination reason: Refutation not found, incomplete strategy 0.22/0.43 0.22/0.43 % (23579)Time elapsed: 0.009 s 0.22/0.43 % (23579)Peak memory usage: 8 MB 0.22/0.43 % (23579)Instructions burned: 13 (million) 0.22/0.43 % (23579)------------------------------ 0.22/0.43 % (23579)------------------------------ 0.22/0.43 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.43 % (23580)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=4011461185:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi) 0.22/0.45 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (23583)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3627534612:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi) 0.22/0.45 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (23581)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=124626126:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi) 0.22/0.45 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (23582)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3795785679:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi) 0.22/0.45 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (23578)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=3737605383:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi) 0.22/0.45 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (23577)lrs+1011_1_sp=occurrence:random_seed=769144949:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi) 0.22/0.45 % (23583)Refutation not found, incomplete strategy% (23583)------------------------------ 0.22/0.45 % (23583)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.45 % (23583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.45 % (23583)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (23583)Time elapsed: 0.003 s 0.22/0.45 % (23583)Peak memory usage: 8 MB 0.22/0.45 % (23583)Instructions burned: 7 (million) 0.22/0.45 % (23583)------------------------------ 0.22/0.45 % (23583)------------------------------ 0.22/0.47 % (23577)First to succeed. 0.22/0.47 % (23577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23575" 0.22/0.47 % (23575)Running in auto input_syntax mode. Trying TPTP 0.22/0.47 % (23577)Refutation found. Thanks to Tanya! 0.22/0.47 % SZS status Theorem for theBenchmark 0.22/0.47 % SZS output start Proof for theBenchmark 0.22/0.47 fof(f832,plain,( 0.22/0.47 $false), 0.22/0.47 inference(avatar_sat_refutation,[],[f91,f146,f267,f272,f279,f494,f500,f766,f784,f831])). 0.22/0.47 fof(f831,plain,( 0.22/0.47 ~spl4_8), 0.22/0.47 inference(avatar_contradiction_clause,[],[f830])). 0.22/0.47 fof(f830,plain,( 0.22/0.47 $false | ~spl4_8), 0.22/0.47 inference(subsumption_resolution,[],[f829,f157])). 0.22/0.47 fof(f157,plain,( 0.22/0.47 greater(sigma,sigma) | ~spl4_8), 0.22/0.47 inference(avatar_component_clause,[],[f156])). 0.22/0.47 fof(f156,definition,( 0.22/0.47 spl4_8 <=> greater(sigma,sigma)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_8])],[avatar_definition])). 0.22/0.47 fof(f829,plain,( 0.22/0.47 ~greater(sigma,sigma) | ~spl4_8), 0.22/0.47 inference(resolution,[],[f157,f71])). 0.22/0.47 fof(f71,plain,( 0.22/0.47 ( ! [X0,X1] : (~greater(X1,X0) | ~greater(X0,X1)) )), 0.22/0.47 inference(cnf_transformation,[],[f41])). 0.22/0.47 fof(f41,plain,( 0.22/0.47 ! [X0,X1] : (~greater(X1,X0) | ~greater(X0,X1))), 0.22/0.47 inference(ennf_transformation,[],[f6])). 0.22/0.47 fof(f6,axiom,( 0.22/0.47 ! [X0,X1] : ~(greater(X1,X0) & greater(X0,X1))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f784,plain,( 0.22/0.47 ~spl4_9), 0.22/0.47 inference(avatar_contradiction_clause,[],[f783])). 0.22/0.47 fof(f783,plain,( 0.22/0.47 $false | ~spl4_9), 0.22/0.47 inference(trivial_inequality_removal,[],[f782])). 0.22/0.47 fof(f782,plain,( 0.22/0.47 zero != zero | ~spl4_9), 0.22/0.47 inference(superposition,[],[f266,f58])). 0.22/0.47 fof(f58,plain,( 0.22/0.47 zero = age(sK0,sK1)), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f48,plain,( 0.22/0.47 ~greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) & zero = age(sK0,sK1) & greater(sigma,zero) & greater(age(sK0,sK3),sigma) & smaller_or_equal(age(sK0,sK2),sigma) & ~has_endowment(sK0) & organization(sK0)), 0.22/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f29,f47])). 0.22/0.47 fof(f47,plain,( 0.22/0.47 ? [X0,X1,X2,X3] : (~greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) & zero = age(X0,X1) & greater(sigma,zero) & greater(age(X0,X3),sigma) & smaller_or_equal(age(X0,X2),sigma) & ~has_endowment(X0) & organization(X0)) => (~greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) & zero = age(sK0,sK1) & greater(sigma,zero) & greater(age(sK0,sK3),sigma) & smaller_or_equal(age(sK0,sK2),sigma) & ~has_endowment(sK0) & organization(sK0))), 0.22/0.47 introduced(definition,[],[choice_axiom])). 0.22/0.47 fof(f29,plain,( 0.22/0.47 ? [X0,X1,X2,X3] : (~greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) & zero = age(X0,X1) & greater(sigma,zero) & greater(age(X0,X3),sigma) & smaller_or_equal(age(X0,X2),sigma) & ~has_endowment(X0) & organization(X0))), 0.22/0.47 inference(flattening,[],[f28])). 0.22/0.47 fof(f28,plain,( 0.22/0.47 ? [X0,X1,X2,X3] : (~greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) & (zero = age(X0,X1) & greater(sigma,zero) & greater(age(X0,X3),sigma) & smaller_or_equal(age(X0,X2),sigma) & ~has_endowment(X0) & organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f17])). 0.22/0.47 fof(f17,plain,( 0.22/0.47 ~! [X0,X1,X2,X3] : ((zero = age(X0,X1) & greater(sigma,zero) & greater(age(X0,X3),sigma) & smaller_or_equal(age(X0,X2),sigma) & ~has_endowment(X0) & organization(X0)) => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)))), 0.22/0.47 inference(rectify,[],[f9])). 0.22/0.47 fof(f9,negated_conjecture,( 0.22/0.47 ~! [X0,X3,X5,X6] : ((zero = age(X0,X3) & greater(sigma,zero) & greater(age(X0,X6),sigma) & smaller_or_equal(age(X0,X5),sigma) & ~has_endowment(X0) & organization(X0)) => greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)))), 0.22/0.47 inference(negated_conjecture,[status(cth)],[f8])). 0.22/0.47 fof(f8,conjecture,( 0.22/0.47 ! [X0,X3,X5,X6] : ((zero = age(X0,X3) & greater(sigma,zero) & greater(age(X0,X6),sigma) & smaller_or_equal(age(X0,X5),sigma) & ~has_endowment(X0) & organization(X0)) => greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f266,plain,( 0.22/0.47 ( ! [X0] : (zero != age(sK0,X0)) ) | ~spl4_9), 0.22/0.47 inference(avatar_component_clause,[],[f265])). 0.22/0.47 fof(f265,definition,( 0.22/0.47 spl4_9 <=> ! [X0] : zero != age(sK0,X0)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_9])],[avatar_definition])). 0.22/0.47 fof(f766,plain,( 0.22/0.47 ~spl4_7 | ~spl4_24), 0.22/0.47 inference(avatar_contradiction_clause,[],[f765])). 0.22/0.47 fof(f765,plain,( 0.22/0.47 $false | (~spl4_7 | ~spl4_24)), 0.22/0.47 inference(subsumption_resolution,[],[f754,f153])). 0.22/0.47 fof(f153,plain,( 0.22/0.47 is_aligned(sK0,sK2) | ~spl4_7), 0.22/0.47 inference(avatar_component_clause,[],[f152])). 0.22/0.47 fof(f152,definition,( 0.22/0.47 spl4_7 <=> is_aligned(sK0,sK2)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_7])],[avatar_definition])). 0.22/0.47 fof(f754,plain,( 0.22/0.47 ~is_aligned(sK0,sK2) | ~spl4_24), 0.22/0.47 inference(resolution,[],[f493,f59])). 0.22/0.47 fof(f59,plain,( 0.22/0.47 ~greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f493,plain,( 0.22/0.47 ( ! [X0] : (greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)) | ~is_aligned(sK0,X0)) ) | ~spl4_24), 0.22/0.47 inference(avatar_component_clause,[],[f492])). 0.22/0.47 fof(f492,definition,( 0.22/0.47 spl4_24 <=> ! [X0] : (~is_aligned(sK0,X0) | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_24])],[avatar_definition])). 0.22/0.47 fof(f500,plain,( 0.22/0.47 ~spl4_23), 0.22/0.47 inference(avatar_contradiction_clause,[],[f499])). 0.22/0.47 fof(f499,plain,( 0.22/0.47 $false | ~spl4_23), 0.22/0.47 inference(subsumption_resolution,[],[f497,f54])). 0.22/0.47 fof(f54,plain,( 0.22/0.47 ~has_endowment(sK0)), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f497,plain,( 0.22/0.47 has_endowment(sK0) | ~spl4_23), 0.22/0.47 inference(subsumption_resolution,[],[f496,f53])). 0.22/0.47 fof(f53,plain,( 0.22/0.47 organization(sK0)), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f496,plain,( 0.22/0.47 ~organization(sK0) | has_endowment(sK0) | ~spl4_23), 0.22/0.47 inference(resolution,[],[f490,f60])). 0.22/0.47 fof(f60,plain,( 0.22/0.47 ( ! [X0,X1] : (~has_immunity(X0,X1) | ~organization(X0) | has_endowment(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f31])). 0.22/0.47 fof(f31,plain,( 0.22/0.47 ! [X0,X1] : (~has_immunity(X0,X1) | ~organization(X0) | has_endowment(X0))), 0.22/0.47 inference(flattening,[],[f30])). 0.22/0.47 fof(f30,plain,( 0.22/0.47 ! [X0,X1] : (~has_immunity(X0,X1) | (~organization(X0) | has_endowment(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f18])). 0.22/0.47 fof(f18,plain,( 0.22/0.47 ! [X0,X1] : ((organization(X0) & ~has_endowment(X0)) => ~has_immunity(X0,X1))), 0.22/0.47 inference(rectify,[],[f10])). 0.22/0.47 fof(f10,axiom,( 0.22/0.47 ! [X0,X4] : ((organization(X0) & ~has_endowment(X0)) => ~has_immunity(X0,X4))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f490,plain,( 0.22/0.47 has_immunity(sK0,sK3) | ~spl4_23), 0.22/0.47 inference(avatar_component_clause,[],[f488])). 0.22/0.47 fof(f488,definition,( 0.22/0.47 spl4_23 <=> has_immunity(sK0,sK3)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_23])],[avatar_definition])). 0.22/0.47 fof(f494,plain,( 0.22/0.47 spl4_23 | spl4_24 | ~spl4_5), 0.22/0.47 inference(avatar_split_clause,[],[f486,f139,f492,f488])). 0.22/0.47 fof(f139,definition,( 0.22/0.47 spl4_5 <=> ! [X0] : (~greater(age(sK0,X0),sigma) | ~is_aligned(sK0,X0))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_5])],[avatar_definition])). 0.22/0.47 fof(f486,plain,( 0.22/0.47 ( ! [X0] : (~is_aligned(sK0,X0) | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)) | has_immunity(sK0,sK3)) ) | ~spl4_5), 0.22/0.47 inference(subsumption_resolution,[],[f485,f53])). 0.22/0.47 fof(f485,plain,( 0.22/0.47 ( ! [X0] : (~is_aligned(sK0,X0) | ~organization(sK0) | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)) | has_immunity(sK0,sK3)) ) | ~spl4_5), 0.22/0.47 inference(subsumption_resolution,[],[f481,f52])). 0.22/0.47 fof(f52,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~has_immunity(X0,X1) | has_immunity(X0,X2) | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f27])). 0.22/0.47 fof(f27,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) | has_immunity(X0,X2) | ~has_immunity(X0,X1) | ~organization(X0))), 0.22/0.47 inference(flattening,[],[f26])). 0.22/0.47 fof(f26,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) | (has_immunity(X0,X2) | ~has_immunity(X0,X1) | ~organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f16])). 0.22/0.47 fof(f16,plain,( 0.22/0.47 ! [X0,X1,X2] : ((~has_immunity(X0,X2) & has_immunity(X0,X1) & organization(X0)) => greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)))), 0.22/0.47 inference(rectify,[],[f7])). 0.22/0.47 fof(f7,axiom,( 0.22/0.47 ! [X0,X3,X4] : ((~has_immunity(X0,X4) & has_immunity(X0,X3) & organization(X0)) => greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f481,plain,( 0.22/0.47 ( ! [X0] : (~is_aligned(sK0,X0) | ~organization(sK0) | has_immunity(sK0,X0) | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)) | has_immunity(sK0,sK3)) ) | ~spl4_5), 0.22/0.47 inference(resolution,[],[f173,f66])). 0.22/0.47 fof(f66,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~greater(capability(X0,X2),capability(X0,X1)) | ~organization(X0) | has_immunity(X0,X2) | greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) | has_immunity(X0,X1)) )), 0.22/0.47 inference(cnf_transformation,[],[f34])). 0.22/0.47 fof(f34,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) | ~organization(X0) | has_immunity(X0,X2) | ~greater(capability(X0,X2),capability(X0,X1)) | has_immunity(X0,X1))), 0.22/0.47 inference(flattening,[],[f33])). 0.22/0.47 fof(f33,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) | (~organization(X0) | has_immunity(X0,X2) | ~greater(capability(X0,X2),capability(X0,X1)) | has_immunity(X0,X1)))), 0.22/0.47 inference(ennf_transformation,[],[f20])). 0.22/0.47 fof(f20,plain,( 0.22/0.47 ! [X0,X1,X2] : ((organization(X0) & ~has_immunity(X0,X2) & greater(capability(X0,X2),capability(X0,X1)) & ~has_immunity(X0,X1)) => greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)))), 0.22/0.47 inference(rectify,[],[f12])). 0.22/0.47 fof(f12,axiom,( 0.22/0.47 ! [X0,X3,X4] : ((organization(X0) & ~has_immunity(X0,X4) & greater(capability(X0,X4),capability(X0,X3)) & ~has_immunity(X0,X3)) => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f173,plain,( 0.22/0.47 ( ! [X0] : (greater(capability(sK0,X0),capability(sK0,sK3)) | ~is_aligned(sK0,X0)) ) | ~spl4_5), 0.22/0.47 inference(subsumption_resolution,[],[f164,f53])). 0.22/0.47 fof(f164,plain,( 0.22/0.47 ( ! [X0] : (greater(capability(sK0,X0),capability(sK0,sK3)) | ~is_aligned(sK0,X0) | ~organization(sK0)) ) | ~spl4_5), 0.22/0.47 inference(resolution,[],[f147,f68])). 0.22/0.47 fof(f68,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (is_aligned(X0,X2) | greater(capability(X0,X1),capability(X0,X2)) | ~is_aligned(X0,X1) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f38])). 0.22/0.47 fof(f38,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(capability(X0,X1),capability(X0,X2)) | is_aligned(X0,X2) | ~is_aligned(X0,X1) | ~organization(X0))), 0.22/0.47 inference(flattening,[],[f37])). 0.22/0.47 fof(f37,plain,( 0.22/0.47 ! [X0,X1,X2] : (greater(capability(X0,X1),capability(X0,X2)) | (is_aligned(X0,X2) | ~is_aligned(X0,X1) | ~organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f22])). 0.22/0.47 fof(f22,plain,( 0.22/0.47 ! [X0,X1,X2] : ((~is_aligned(X0,X2) & is_aligned(X0,X1) & organization(X0)) => greater(capability(X0,X1),capability(X0,X2)))), 0.22/0.47 inference(rectify,[],[f14])). 0.22/0.47 fof(f14,axiom,( 0.22/0.47 ! [X0,X3,X4] : ((~is_aligned(X0,X4) & is_aligned(X0,X3) & organization(X0)) => greater(capability(X0,X3),capability(X0,X4)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f147,plain,( 0.22/0.47 ~is_aligned(sK0,sK3) | ~spl4_5), 0.22/0.47 inference(resolution,[],[f140,f56])). 0.22/0.47 fof(f56,plain,( 0.22/0.47 greater(age(sK0,sK3),sigma)), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f140,plain,( 0.22/0.47 ( ! [X0] : (~greater(age(sK0,X0),sigma) | ~is_aligned(sK0,X0)) ) | ~spl4_5), 0.22/0.47 inference(avatar_component_clause,[],[f139])). 0.22/0.47 fof(f279,plain,( 0.22/0.47 ~spl4_10 | ~spl4_1), 0.22/0.47 inference(avatar_split_clause,[],[f278,f84,f269])). 0.22/0.47 fof(f269,definition,( 0.22/0.47 spl4_10 <=> greater(age(sK0,sK2),sigma)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_10])],[avatar_definition])). 0.22/0.47 fof(f84,definition,( 0.22/0.47 spl4_1 <=> smaller(age(sK0,sK2),sigma)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_1])],[avatar_definition])). 0.22/0.47 fof(f278,plain,( 0.22/0.47 ~greater(age(sK0,sK2),sigma) | ~spl4_1), 0.22/0.47 inference(resolution,[],[f273,f71])). 0.22/0.47 fof(f273,plain,( 0.22/0.47 greater(sigma,age(sK0,sK2)) | ~spl4_1), 0.22/0.47 inference(resolution,[],[f86,f74])). 0.22/0.47 fof(f74,plain,( 0.22/0.47 ( ! [X0,X1] : (~smaller(X0,X1) | greater(X1,X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f44])). 0.22/0.47 fof(f44,plain,( 0.22/0.47 ! [X0,X1] : (greater(X1,X0) | ~smaller(X0,X1))), 0.22/0.47 inference(ennf_transformation,[],[f25])). 0.22/0.47 fof(f25,plain,( 0.22/0.47 ! [X0,X1] : (smaller(X0,X1) => greater(X1,X0))), 0.22/0.47 inference(unused_predicate_definition_removal,[],[f1])). 0.22/0.47 fof(f1,axiom,( 0.22/0.47 ! [X0,X1] : (smaller(X0,X1) <=> greater(X1,X0))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f86,plain,( 0.22/0.47 smaller(age(sK0,sK2),sigma) | ~spl4_1), 0.22/0.47 inference(avatar_component_clause,[],[f84])). 0.22/0.47 fof(f272,plain,( 0.22/0.47 spl4_9 | spl4_10 | spl4_7), 0.22/0.47 inference(avatar_split_clause,[],[f262,f152,f269,f265])). 0.22/0.47 fof(f262,plain,( 0.22/0.47 ( ! [X0] : (greater(age(sK0,sK2),sigma) | zero != age(sK0,X0)) ) | spl4_7), 0.22/0.47 inference(subsumption_resolution,[],[f261,f53])). 0.22/0.47 fof(f261,plain,( 0.22/0.47 ( ! [X0] : (greater(age(sK0,sK2),sigma) | zero != age(sK0,X0) | ~organization(sK0)) ) | spl4_7), 0.22/0.47 inference(subsumption_resolution,[],[f258,f67])). 0.22/0.47 fof(f67,plain,( 0.22/0.47 ( ! [X0,X1] : (is_aligned(X0,X1) | zero != age(X0,X1) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f36])). 0.22/0.47 fof(f36,plain,( 0.22/0.47 ! [X0,X1] : (is_aligned(X0,X1) | zero != age(X0,X1) | ~organization(X0))), 0.22/0.47 inference(flattening,[],[f35])). 0.22/0.47 fof(f35,plain,( 0.22/0.47 ! [X0,X1] : (is_aligned(X0,X1) | (zero != age(X0,X1) | ~organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f21])). 0.22/0.47 fof(f21,plain,( 0.22/0.47 ! [X0,X1] : ((zero = age(X0,X1) & organization(X0)) => is_aligned(X0,X1))), 0.22/0.47 inference(rectify,[],[f13])). 0.22/0.47 fof(f13,axiom,( 0.22/0.47 ! [X0,X4] : ((zero = age(X0,X4) & organization(X0)) => is_aligned(X0,X4))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f258,plain,( 0.22/0.47 ( ! [X0] : (~is_aligned(sK0,X0) | greater(age(sK0,sK2),sigma) | zero != age(sK0,X0) | ~organization(sK0)) ) | spl4_7), 0.22/0.47 inference(resolution,[],[f188,f70])). 0.22/0.47 fof(f70,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~dissimilar(X0,X1,X2) | greater(age(X0,X2),sigma) | zero != age(X0,X1) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f51])). 0.22/0.47 fof(f51,plain,( 0.22/0.47 ! [X0,X1,X2] : (((greater(age(X0,X2),sigma) | ~dissimilar(X0,X1,X2)) & (dissimilar(X0,X1,X2) | ~greater(age(X0,X2),sigma))) | zero != age(X0,X1) | ~organization(X0))), 0.22/0.47 inference(nnf_transformation,[],[f40])). 0.22/0.47 fof(f40,plain,( 0.22/0.47 ! [X0,X1,X2] : ((greater(age(X0,X2),sigma) <=> dissimilar(X0,X1,X2)) | zero != age(X0,X1) | ~organization(X0))), 0.22/0.47 inference(flattening,[],[f39])). 0.22/0.47 fof(f39,plain,( 0.22/0.47 ! [X0,X1,X2] : ((greater(age(X0,X2),sigma) <=> dissimilar(X0,X1,X2)) | (zero != age(X0,X1) | ~organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f23])). 0.22/0.47 fof(f23,plain,( 0.22/0.47 ! [X0,X1,X2] : ((zero = age(X0,X1) & organization(X0)) => (greater(age(X0,X2),sigma) <=> dissimilar(X0,X1,X2)))), 0.22/0.47 inference(rectify,[],[f15])). 0.22/0.47 fof(f15,axiom,( 0.22/0.47 ! [X0,X3,X4] : ((zero = age(X0,X3) & organization(X0)) => (greater(age(X0,X4),sigma) <=> dissimilar(X0,X3,X4)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f188,plain,( 0.22/0.47 ( ! [X0] : (dissimilar(sK0,X0,sK2) | ~is_aligned(sK0,X0)) ) | spl4_7), 0.22/0.47 inference(subsumption_resolution,[],[f184,f53])). 0.22/0.47 fof(f184,plain,( 0.22/0.47 ( ! [X0] : (dissimilar(sK0,X0,sK2) | ~is_aligned(sK0,X0) | ~organization(sK0)) ) | spl4_7), 0.22/0.47 inference(resolution,[],[f154,f64])). 0.22/0.47 fof(f64,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (is_aligned(X0,X2) | dissimilar(X0,X1,X2) | ~is_aligned(X0,X1) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f50])). 0.22/0.47 fof(f50,plain,( 0.22/0.47 ! [X0,X1,X2] : ((dissimilar(X0,X1,X2) | ((is_aligned(X0,X1) | ~is_aligned(X0,X2)) & (is_aligned(X0,X2) | ~is_aligned(X0,X1))) | ~organization(X0)) & (((~is_aligned(X0,X2) | ~is_aligned(X0,X1)) & (is_aligned(X0,X2) | is_aligned(X0,X1)) & organization(X0)) | ~dissimilar(X0,X1,X2)))), 0.22/0.47 inference(flattening,[],[f49])). 0.22/0.47 fof(f49,plain,( 0.22/0.47 ! [X0,X1,X2] : ((dissimilar(X0,X1,X2) | (((is_aligned(X0,X1) | ~is_aligned(X0,X2)) & (is_aligned(X0,X2) | ~is_aligned(X0,X1))) | ~organization(X0))) & ((((~is_aligned(X0,X2) | ~is_aligned(X0,X1)) & (is_aligned(X0,X2) | is_aligned(X0,X1))) & organization(X0)) | ~dissimilar(X0,X1,X2)))), 0.22/0.47 inference(nnf_transformation,[],[f32])). 0.22/0.47 fof(f32,plain,( 0.22/0.47 ! [X0,X1,X2] : (dissimilar(X0,X1,X2) <=> ((is_aligned(X0,X1) <~> is_aligned(X0,X2)) & organization(X0)))), 0.22/0.47 inference(ennf_transformation,[],[f19])). 0.22/0.47 fof(f19,plain,( 0.22/0.47 ! [X0,X1,X2] : (dissimilar(X0,X1,X2) <=> (~(is_aligned(X0,X1) <=> is_aligned(X0,X2)) & organization(X0)))), 0.22/0.47 inference(rectify,[],[f11])). 0.22/0.47 fof(f11,axiom,( 0.22/0.47 ! [X0,X3,X4] : (dissimilar(X0,X3,X4) <=> (~(is_aligned(X0,X3) <=> is_aligned(X0,X4)) & organization(X0)))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 fof(f154,plain,( 0.22/0.47 ~is_aligned(sK0,sK2) | spl4_7), 0.22/0.47 inference(avatar_component_clause,[],[f152])). 0.22/0.47 fof(f267,plain,( 0.22/0.47 spl4_9 | spl4_8 | ~spl4_2 | spl4_7), 0.22/0.47 inference(avatar_split_clause,[],[f263,f152,f88,f156,f265])). 0.22/0.47 fof(f88,definition,( 0.22/0.47 spl4_2 <=> sigma = age(sK0,sK2)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl4_2])],[avatar_definition])). 0.22/0.47 fof(f263,plain,( 0.22/0.47 ( ! [X0] : (greater(sigma,sigma) | zero != age(sK0,X0)) ) | (~spl4_2 | spl4_7)), 0.22/0.47 inference(forward_demodulation,[],[f262,f90])). 0.22/0.47 fof(f90,plain,( 0.22/0.47 sigma = age(sK0,sK2) | ~spl4_2), 0.22/0.47 inference(avatar_component_clause,[],[f88])). 0.22/0.47 fof(f146,plain,( 0.22/0.47 spl4_5), 0.22/0.47 inference(avatar_split_clause,[],[f137,f139])). 0.22/0.47 fof(f137,plain,( 0.22/0.47 ( ! [X0] : (~greater(age(sK0,X0),sigma) | ~is_aligned(sK0,X0)) )), 0.22/0.47 inference(subsumption_resolution,[],[f135,f53])). 0.22/0.47 fof(f135,plain,( 0.22/0.47 ( ! [X0] : (~greater(age(sK0,X0),sigma) | ~organization(sK0) | ~is_aligned(sK0,X0)) )), 0.22/0.47 inference(trivial_inequality_removal,[],[f133])). 0.22/0.47 fof(f133,plain,( 0.22/0.47 ( ! [X0] : (zero != zero | ~greater(age(sK0,X0),sigma) | ~organization(sK0) | ~is_aligned(sK0,X0)) )), 0.22/0.47 inference(superposition,[],[f119,f58])). 0.22/0.47 fof(f119,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (zero != age(X0,X2) | ~greater(age(X0,X1),sigma) | ~organization(X0) | ~is_aligned(X0,X1)) )), 0.22/0.47 inference(subsumption_resolution,[],[f118,f67])). 0.22/0.47 fof(f118,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~greater(age(X0,X1),sigma) | zero != age(X0,X2) | ~organization(X0) | ~is_aligned(X0,X2) | ~is_aligned(X0,X1)) )), 0.22/0.47 inference(resolution,[],[f69,f63])). 0.22/0.47 fof(f63,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~dissimilar(X0,X1,X2) | ~is_aligned(X0,X1) | ~is_aligned(X0,X2)) )), 0.22/0.47 inference(cnf_transformation,[],[f50])). 0.22/0.47 fof(f69,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (dissimilar(X0,X1,X2) | ~greater(age(X0,X2),sigma) | zero != age(X0,X1) | ~organization(X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f51])). 0.22/0.47 fof(f91,plain,( 0.22/0.47 spl4_1 | spl4_2), 0.22/0.47 inference(avatar_split_clause,[],[f82,f88,f84])). 0.22/0.47 fof(f82,plain,( 0.22/0.47 sigma = age(sK0,sK2) | smaller(age(sK0,sK2),sigma)), 0.22/0.47 inference(resolution,[],[f75,f55])). 0.22/0.47 fof(f55,plain,( 0.22/0.47 smaller_or_equal(age(sK0,sK2),sigma)), 0.22/0.47 inference(cnf_transformation,[],[f48])). 0.22/0.47 fof(f75,plain,( 0.22/0.47 ( ! [X0,X1] : (~smaller_or_equal(X0,X1) | X0 = X1 | smaller(X0,X1)) )), 0.22/0.47 inference(cnf_transformation,[],[f46])). 0.22/0.47 fof(f46,plain,( 0.22/0.47 ! [X0,X1] : (smaller(X0,X1) | X0 = X1 | ~smaller_or_equal(X0,X1))), 0.22/0.47 inference(flattening,[],[f45])). 0.22/0.47 fof(f45,plain,( 0.22/0.47 ! [X0,X1] : ((smaller(X0,X1) | X0 = X1) | ~smaller_or_equal(X0,X1))), 0.22/0.47 inference(ennf_transformation,[],[f24])). 0.22/0.47 fof(f24,plain,( 0.22/0.47 ! [X0,X1] : (smaller_or_equal(X0,X1) => (smaller(X0,X1) | X0 = X1))), 0.22/0.47 inference(unused_predicate_definition_removal,[],[f5])). 0.22/0.47 fof(f5,axiom,( 0.22/0.47 ! [X0,X1] : ((smaller(X0,X1) | X0 = X1) <=> smaller_or_equal(X0,X1))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.47 % SZS output end Proof for theBenchmark 0.22/0.47 % (23577)------------------------------ 0.22/0.47 % (23577)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.47 % (23577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.47 % (23577)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (23577)Time elapsed: 0.016 s 0.22/0.47 % (23577)Peak memory usage: 8 MB 0.22/0.47 % (23577)Instructions burned: 41 (million) 0.22/0.47 % (23577)------------------------------ 0.22/0.47 % (23577)------------------------------ 0.22/0.47 % (23575)Success in time 0.1 s 0.22/0.47 EOF