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 0.12/0.33 % Computer : n023.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 : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 05:30:19 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.35 This is a TFF_ problem 0.20/0.35 Running first-order theorem proving 0.20/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18664)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2898709761:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18663)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2884802879:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18660)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3820574833:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18665)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=622487791:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18662)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=231461736:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.20/0.43 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (18661)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3908967987:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.20/0.43 % (18662)First to succeed. 0.20/0.43 % (18663)Instruction limit reached! 0.20/0.43 % (18663)------------------------------ 0.20/0.43 % (18663)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.43 % (18662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18657" 0.20/0.43 % (18663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.43 % (18663)Termination reason: Instruction limit 0.20/0.43 % (18663)Termination phase: Saturation 0.20/0.43 0.20/0.44 % (18663)Time elapsed: 0.003 s 0.20/0.44 % (18663)Peak memory usage: 8 MB 0.20/0.44 % (18663)Instructions burned: 5 (million) 0.20/0.44 % (18657)Running in auto input_syntax mode. Trying TPTP 0.20/0.44 % (18662)Refutation found. Thanks to Tanya! 0.20/0.44 % SZS status Theorem for theBenchmark 0.20/0.44 % SZS output start Proof for theBenchmark 0.20/0.44 tff(func_def_0, type, sqr: $real > $real). 0.20/0.44 tff(func_def_1, type, sqrt: $real > $real). 0.20/0.44 tff(f113,plain,( 0.20/0.44 $false), 0.20/0.44 inference(subsumption_resolution,[],[f109,f44])). 0.20/0.44 tff(f44,plain,( 0.20/0.44 1/1 != sqrt(1/1)), 0.20/0.44 inference(cnf_transformation,[],[f32])). 0.20/0.44 tff(f32,plain,( 0.20/0.44 1/1 != sqrt(1/1)), 0.20/0.44 inference(flattening,[],[f9])). 0.20/0.44 tff(f9,negated_conjecture,( 0.20/0.44 ~1/1 = sqrt(1/1)), 0.20/0.44 inference(negated_conjecture,[status(cth)],[f8])). 0.20/0.44 tff(f8,conjecture,( 0.20/0.44 1/1 = sqrt(1/1)), 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.20/0.44 tff(f109,plain,( 0.20/0.44 1/1 = sqrt(1/1)), 0.20/0.44 inference(evaluation,[],[f102])). 0.20/0.44 tff(f102,plain,( 0.20/0.44 $less(1/1,0/1) | 1/1 = sqrt($product(1/1,1/1))), 0.20/0.44 inference(instantiation,[],[f47])). 0.20/0.44 tff(f47,plain,( 0.20/0.44 ( ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0/1)) )), 0.20/0.44 inference(cnf_transformation,[],[f33])). 0.20/0.44 tff(f33,plain,( 0.20/0.44 ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0/1))), 0.20/0.44 inference(ennf_transformation,[],[f11])). 0.20/0.44 tff(f11,plain,( 0.20/0.44 ! [X0 : $real] : (~$less(X0,0/1) => sqrt($product(X0,X0)) = X0)), 0.20/0.44 inference(theory_normalization,[],[f6])). 0.20/0.44 tff(f6,axiom,( 0.20/0.44 ! [X0 : $real] : ($lesseq(0/1,X0) => sqrt($product(X0,X0)) = X0)), 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.20/0.44 % SZS output end Proof for theBenchmark 0.20/0.44 % (18662)------------------------------ 0.20/0.44 % (18662)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.44 % (18662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.44 % (18662)Termination reason: Refutation 0.20/0.44 0.20/0.44 % (18662)Time elapsed: 0.003 s 0.20/0.44 % (18662)Peak memory usage: 8 MB 0.20/0.44 % (18662)Instructions burned: 3 (million) 0.20/0.44 % (18662)------------------------------ 0.20/0.44 % (18662)------------------------------ 0.20/0.44 % (18657)Success in time 0.082 s 0.20/0.44 EOF