0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 02:01:04 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a FOF_ problem 0.12/0.36 Running first-order theorem proving 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9299)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=593018288:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi) 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9300)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=795980375:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi) 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9301)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1083989439:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi) 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9298)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2214088489:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi) 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9302)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3682597508:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi) 0.21/0.44 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (9297)lrs+1011_1_sp=occurrence:random_seed=854950370:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi) 0.21/0.44 % (9300)Refutation not found, incomplete strategy% (9300)------------------------------ 0.21/0.44 % (9300)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.44 % (9300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.44 % (9300)Termination reason: Refutation not found, incomplete strategy 0.21/0.44 0.21/0.44 % (9300)Time elapsed: 0.002 s 0.21/0.44 % (9300)Peak memory usage: 7 MB 0.21/0.44 % (9300)Instructions burned: 2 (million) 0.21/0.44 % (9300)------------------------------ 0.21/0.44 % (9300)------------------------------ 0.21/0.45 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (9303)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=1121186564:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi) 0.21/0.46 % (9297)First to succeed. 0.21/0.46 % (9297)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9295" 0.21/0.46 % (9295)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (9297)Refutation found. Thanks to Tanya! 0.21/0.46 % SZS status Theorem for theBenchmark 0.21/0.46 % SZS output start Proof for theBenchmark 0.21/0.46 fof(f829,plain,( 0.21/0.46 $false), 0.21/0.46 inference(resolution,[],[f791,f129])). 0.21/0.46 fof(f129,plain,( 0.21/0.46 ( ! [X0,X1] : (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))) )), 0.21/0.46 inference(cnf_transformation,[],[f45])). 0.21/0.46 fof(f45,plain,( 0.21/0.46 ! [X0,X1] : ~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))), 0.21/0.46 inference(rectify,[],[f18])). 0.21/0.46 fof(f18,axiom,( 0.21/0.46 ! [X2,X3] : ~unequally_directed_lines(line_connecting(X2,X3),reverse_line(line_connecting(X3,X2)))), 0.21/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.46 fof(f791,plain,( 0.21/0.46 ( ! [X0] : (unequally_directed_lines(X0,reverse_line(X0))) )), 0.21/0.46 inference(resolution,[],[f732,f145])). 0.21/0.46 fof(f145,plain,( 0.21/0.46 ( ! [X0] : (~unequally_directed_lines(X0,X0)) )), 0.21/0.46 inference(cnf_transformation,[],[f22])). 0.21/0.46 fof(f22,axiom,( 0.21/0.46 ! [X0] : ~unequally_directed_lines(X0,X0)), 0.21/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.46 fof(f732,plain,( 0.21/0.46 ( ! [X0,X1] : (unequally_directed_lines(reverse_line(X0),X1) | unequally_directed_lines(X0,X1)) )), 0.21/0.46 inference(resolution,[],[f726,f148])). 0.21/0.46 fof(f148,plain,( 0.21/0.46 ( ! [X2,X0,X1] : (~unequally_directed_lines(X0,X1) | unequally_directed_lines(X0,X2) | unequally_directed_lines(X1,X2)) )), 0.21/0.46 inference(cnf_transformation,[],[f96])). 0.21/0.46 fof(f96,plain,( 0.21/0.46 ! [X0,X1,X2] : (unequally_directed_lines(X1,X2) | unequally_directed_lines(X0,X2) | ~unequally_directed_lines(X0,X1))), 0.21/0.46 inference(flattening,[],[f95])). 0.21/0.46 fof(f95,plain,( 0.21/0.46 ! [X0,X1,X2] : ((unequally_directed_lines(X1,X2) | unequally_directed_lines(X0,X2)) | ~unequally_directed_lines(X0,X1))), 0.21/0.46 inference(ennf_transformation,[],[f52])). 0.21/0.46 fof(f52,plain,( 0.21/0.46 ! [X0,X1,X2] : (unequally_directed_lines(X0,X1) => (unequally_directed_lines(X1,X2) | unequally_directed_lines(X0,X2)))), 0.21/0.46 inference(rectify,[],[f6])). 0.21/0.46 fof(f6,axiom,( 0.21/0.46 ! [X0,X1,X5] : (unequally_directed_lines(X0,X1) => (unequally_directed_lines(X1,X5) | unequally_directed_lines(X0,X5)))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.47 fof(f726,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(X0),X0)) )), 0.21/0.47 inference(subsumption_resolution,[],[f723,f404])). 0.21/0.47 fof(f404,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(reverse_line(sK0),X0) | unequally_directed_lines(reverse_line(X0),X0)) )), 0.21/0.47 inference(resolution,[],[f402,f380])). 0.21/0.47 fof(f380,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(sK0,X0) | ~unequally_directed_lines(reverse_line(sK0),X0)) )), 0.21/0.47 inference(resolution,[],[f368,f154])). 0.21/0.47 fof(f154,plain,( 0.21/0.47 ( ! [X0,X1] : (~unequally_directed_lines(X0,reverse_line(X1)) | ~unequally_directed_lines(X0,X1)) )), 0.21/0.47 inference(subsumption_resolution,[],[f152,f141])). 0.21/0.47 fof(f141,plain,( 0.21/0.47 ( ! [X0,X1] : (~left_convergent_lines(X0,X1)) )), 0.21/0.47 inference(cnf_transformation,[],[f90])). 0.21/0.47 fof(f90,plain,( 0.21/0.47 ! [X0,X1] : (~left_convergent_lines(X0,reverse_line(X1)) & ~left_convergent_lines(X0,X1))), 0.21/0.47 inference(ennf_transformation,[],[f1])). 0.21/0.47 fof(f1,axiom,( 0.21/0.47 ! [X0,X1] : ~(left_convergent_lines(X0,reverse_line(X1)) | left_convergent_lines(X0,X1))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.47 fof(f152,plain,( 0.21/0.47 ( ! [X0,X1] : (left_convergent_lines(X0,reverse_line(X1)) | ~unequally_directed_lines(X0,X1) | ~unequally_directed_lines(X0,reverse_line(X1))) )), 0.21/0.47 inference(subsumption_resolution,[],[f133,f141])). 0.21/0.47 fof(f133,plain,( 0.21/0.47 ( ! [X0,X1] : (left_convergent_lines(X0,reverse_line(X1)) | left_convergent_lines(X0,X1) | ~unequally_directed_lines(X0,X1) | ~unequally_directed_lines(X0,reverse_line(X1))) )), 0.21/0.47 inference(cnf_transformation,[],[f84])). 0.21/0.47 fof(f84,plain,( 0.21/0.47 ! [X0,X1] : (left_convergent_lines(X0,reverse_line(X1)) | left_convergent_lines(X0,X1) | ~unequally_directed_lines(X0,X1) | ~unequally_directed_lines(X0,reverse_line(X1)))), 0.21/0.47 inference(flattening,[],[f83])). 0.21/0.47 fof(f83,plain,( 0.21/0.47 ! [X0,X1] : ((left_convergent_lines(X0,reverse_line(X1)) | left_convergent_lines(X0,X1)) | (~unequally_directed_lines(X0,X1) | ~unequally_directed_lines(X0,reverse_line(X1))))), 0.21/0.47 inference(ennf_transformation,[],[f24])). 0.21/0.47 fof(f24,axiom,( 0.21/0.47 ! [X0,X1] : ((unequally_directed_lines(X0,X1) & unequally_directed_lines(X0,reverse_line(X1))) => (left_convergent_lines(X0,reverse_line(X1)) | left_convergent_lines(X0,X1)))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.47 fof(f368,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(sK0,reverse_line(X0)) | ~unequally_directed_lines(reverse_line(sK0),X0)) )), 0.21/0.47 inference(resolution,[],[f358,f219])). 0.21/0.47 fof(f219,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(X0)) | ~unequally_directed_lines(reverse_line(sK0),X0)) )), 0.21/0.47 inference(resolution,[],[f204,f154])). 0.21/0.47 fof(f204,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(sK0),X0) | unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)) )), 0.21/0.47 inference(resolution,[],[f196,f148])). 0.21/0.47 fof(f196,plain,( 0.21/0.47 unequally_directed_lines(reverse_line(sK0),reverse_line(reverse_line(sK0)))), 0.21/0.47 inference(resolution,[],[f189,f178])). 0.21/0.47 fof(f178,plain,( 0.21/0.47 unequally_directed_lines(sK0,reverse_line(sK0))), 0.21/0.47 inference(subsumption_resolution,[],[f175,f104])). 0.21/0.47 fof(f104,plain,( 0.21/0.47 line(sK0)), 0.21/0.47 inference(cnf_transformation,[],[f100])). 0.21/0.47 fof(f100,plain,( 0.21/0.47 between_on_line(sK0,sK1,sK2,sK3) & between_on_line(sK0,sK2,sK1,sK3) & line(sK0) & distinct_points(sK1,sK3) & distinct_points(sK2,sK3) & distinct_points(sK1,sK2)), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f59,f99])). 0.21/0.47 fof(f99,plain,( 0.21/0.47 ? [X0,X1,X2,X3] : (between_on_line(X0,X1,X2,X3) & between_on_line(X0,X2,X1,X3) & line(X0) & distinct_points(X1,X3) & distinct_points(X2,X3) & distinct_points(X1,X2)) => (between_on_line(sK0,sK1,sK2,sK3) & between_on_line(sK0,sK2,sK1,sK3) & line(sK0) & distinct_points(sK1,sK3) & distinct_points(sK2,sK3) & distinct_points(sK1,sK2))), 0.21/0.47 introduced(definition,[],[choice_axiom])). 0.21/0.47 fof(f59,plain,( 0.21/0.47 ? [X0,X1,X2,X3] : (between_on_line(X0,X1,X2,X3) & between_on_line(X0,X2,X1,X3) & line(X0) & distinct_points(X1,X3) & distinct_points(X2,X3) & distinct_points(X1,X2))), 0.21/0.47 inference(flattening,[],[f58])). 0.21/0.47 fof(f58,plain,( 0.21/0.47 ? [X0,X1,X2,X3] : ((between_on_line(X0,X1,X2,X3) & between_on_line(X0,X2,X1,X3)) & (line(X0) & distinct_points(X1,X3) & distinct_points(X2,X3) & distinct_points(X1,X2)))), 0.21/0.47 inference(ennf_transformation,[],[f34])). 0.21/0.47 fof(f34,plain,( 0.21/0.47 ~! [X0,X1,X2,X3] : ((line(X0) & distinct_points(X1,X3) & distinct_points(X2,X3) & distinct_points(X1,X2)) => ~(between_on_line(X0,X1,X2,X3) & between_on_line(X0,X2,X1,X3)))), 0.21/0.47 inference(rectify,[],[f33])). 0.21/0.47 fof(f33,negated_conjecture,( 0.21/0.47 ~! [X0,X2,X3,X4] : ((line(X0) & distinct_points(X2,X4) & distinct_points(X3,X4) & distinct_points(X2,X3)) => ~(between_on_line(X0,X2,X3,X4) & between_on_line(X0,X3,X2,X4)))), 0.21/0.47 inference(negated_conjecture,[status(cth)],[f32])). 0.21/0.47 fof(f32,conjecture,( 0.21/0.47 ! [X0,X2,X3,X4] : ((line(X0) & distinct_points(X2,X4) & distinct_points(X3,X4) & distinct_points(X2,X3)) => ~(between_on_line(X0,X2,X3,X4) & between_on_line(X0,X3,X2,X4)))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.47 fof(f175,plain,( 0.21/0.47 unequally_directed_lines(sK0,reverse_line(sK0)) | ~line(sK0)), 0.21/0.47 inference(resolution,[],[f174,f145])). 0.21/0.47 fof(f174,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(X0,sK0) | unequally_directed_lines(X0,reverse_line(sK0)) | ~line(X0)) )), 0.21/0.47 inference(resolution,[],[f111,f104])). 0.21/0.47 fof(f111,plain,( 0.21/0.47 ( ! [X0,X1] : (~line(X1) | unequally_directed_lines(X0,X1) | unequally_directed_lines(X0,reverse_line(X1)) | ~line(X0)) )), 0.21/0.47 inference(cnf_transformation,[],[f68])). 0.21/0.47 fof(f68,plain,( 0.21/0.47 ! [X0,X1] : (unequally_directed_lines(X0,reverse_line(X1)) | unequally_directed_lines(X0,X1) | ~line(X1) | ~line(X0))), 0.21/0.47 inference(flattening,[],[f67])). 0.21/0.47 fof(f67,plain,( 0.21/0.47 ! [X0,X1] : ((unequally_directed_lines(X0,reverse_line(X1)) | unequally_directed_lines(X0,X1)) | (~line(X1) | ~line(X0)))), 0.21/0.47 inference(ennf_transformation,[],[f3])). 0.21/0.47 fof(f3,axiom,( 0.21/0.47 ! [X0,X1] : ((line(X1) & line(X0)) => (unequally_directed_lines(X0,reverse_line(X1)) | unequally_directed_lines(X0,X1)))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.47 fof(f189,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(sK0,X0) | unequally_directed_lines(reverse_line(sK0),reverse_line(X0))) )), 0.21/0.47 inference(resolution,[],[f182,f154])). 0.21/0.47 fof(f182,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(sK0,X0) | unequally_directed_lines(reverse_line(sK0),X0)) )), 0.21/0.47 inference(resolution,[],[f178,f148])). 0.21/0.47 fof(f358,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(reverse_line(reverse_line(sK0)),X0) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f349,f154])). 0.21/0.47 fof(f349,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(X0)) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f340,f204])). 0.21/0.47 fof(f340,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(reverse_line(sK0),reverse_line(X0)) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f332,f154])). 0.21/0.47 fof(f332,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(sK0),reverse_line(reverse_line(X0))) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f320,f189])). 0.21/0.47 fof(f320,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(sK0,reverse_line(X0)) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f282,f267])). 0.21/0.47 fof(f267,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),X0) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f242,f196])). 0.21/0.47 fof(f242,plain,( 0.21/0.47 ( ! [X0,X1] : (~unequally_directed_lines(reverse_line(sK0),X1) | unequally_directed_lines(reverse_line(X1),X0) | unequally_directed_lines(sK0,X0)) )), 0.21/0.47 inference(resolution,[],[f186,f154])). 0.21/0.47 fof(f186,plain,( 0.21/0.47 ( ! [X0,X1] : (unequally_directed_lines(reverse_line(sK0),X0) | unequally_directed_lines(sK0,X1) | unequally_directed_lines(X0,X1)) )), 0.21/0.47 inference(resolution,[],[f182,f148])). 0.21/0.47 fof(f282,plain,( 0.21/0.47 ( ! [X0] : (~unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),X0) | unequally_directed_lines(sK0,reverse_line(X0))) )), 0.21/0.47 inference(resolution,[],[f267,f154])). 0.21/0.47 fof(f402,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(sK0,X0) | unequally_directed_lines(reverse_line(X0),X0)) )), 0.21/0.47 inference(factoring,[],[f333])). 0.21/0.47 fof(f333,plain,( 0.21/0.47 ( ! [X0,X1] : (unequally_directed_lines(sK0,X0) | unequally_directed_lines(sK0,X1) | unequally_directed_lines(reverse_line(X0),X1)) )), 0.21/0.47 inference(resolution,[],[f320,f148])). 0.21/0.47 fof(f723,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(sK0),X0) | unequally_directed_lines(reverse_line(X0),X0)) )), 0.21/0.47 inference(factoring,[],[f209])). 0.21/0.47 fof(f209,plain,( 0.21/0.47 ( ! [X0,X1] : (unequally_directed_lines(reverse_line(sK0),X0) | unequally_directed_lines(reverse_line(sK0),X1) | unequally_directed_lines(reverse_line(X0),X1)) )), 0.21/0.47 inference(resolution,[],[f197,f148])). 0.21/0.47 fof(f197,plain,( 0.21/0.47 ( ! [X0] : (unequally_directed_lines(reverse_line(sK0),reverse_line(X0)) | unequally_directed_lines(reverse_line(sK0),X0)) )), 0.21/0.47 inference(resolution,[],[f189,f182])). 0.21/0.47 % SZS output end Proof for theBenchmark 0.21/0.47 % (9297)------------------------------ 0.21/0.47 % (9297)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.47 % (9297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.47 % (9297)Termination reason: Refutation 0.21/0.47 0.21/0.47 % (9297)Time elapsed: 0.021 s 0.21/0.47 % (9297)Peak memory usage: 8 MB 0.21/0.47 % (9297)Instructions burned: 33 (million) 0.21/0.47 % (9297)------------------------------ 0.21/0.47 % (9297)------------------------------ 0.21/0.47 % (9295)Success in time 0.103 s 0.21/0.47 EOF