%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI535_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:34:48 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI535_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:54:27 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % (54231)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (54238)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1017623757:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (54237)% WARNING: option uhcvi not known.
% 0.20/0.36 % (54236)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3214319467_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (54239)dis+10_1_sil=32000:sp=arity:random_seed=1098362909:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (54237)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3142459384:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (54236)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.36 % (54236)Terminated due to inappropriate strategy.
% 0.20/0.36 % (54236)------------------------------
% 0.20/0.36 % (54236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54240)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3701341374:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (54236)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54236)Termination reason: Inappropriate
% 0.20/0.36 % (54236)Time elapsed: 0.0000 s
% 0.20/0.36 % (54236)Peak memory usage: 10 MB
% 0.20/0.36 % (54241)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2078090118:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (54236)------------------------------
% 0.20/0.36 % (54236)------------------------------
% 0.20/0.36 % (54242)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1297833677:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (54256)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1570153209:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % (54256)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.36 % (54256)Terminated due to inappropriate strategy.
% 0.20/0.36 % (54256)------------------------------
% 0.20/0.36 % (54256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54256)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54256)Termination reason: Inappropriate
% 0.20/0.36 % (54256)Time elapsed: 0.0000 s
% 0.20/0.36 % (54256)Peak memory usage: 10 MB
% 0.20/0.36 % (54256)------------------------------
% 0.20/0.36 % (54256)------------------------------
% 0.20/0.36 % (54266)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4277875092:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (54239)Instruction limit reached!
% 0.20/0.36 % (54239)------------------------------
% 0.20/0.36 % (54239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54239)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54239)Termination reason: Instruction limit
% 0.20/0.36 % (54239)Termination phase: Saturation
% 0.20/0.36 % (54239)Time elapsed: 0.062 s
% 0.20/0.36 % (54239)Peak memory usage: 13 MB
% 0.20/0.36 % (54239)Instructions burned: 104 (million)
% 0.20/0.36 % (54240)Instruction limit reached!
% 0.20/0.36 % (54240)------------------------------
% 0.20/0.36 % (54240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54240)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54240)Termination reason: Instruction limit
% 0.20/0.36 % (54240)Termination phase: Saturation
% 0.20/0.36 % (54240)Time elapsed: 0.070 s
% 0.20/0.36 % (54240)Peak memory usage: 13 MB
% 0.20/0.36 % (54240)Instructions burned: 117 (million)
% 0.20/0.36 % (54237) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-54231-54237"...
% 0.20/0.36 % (54237)...printing done.
% 0.20/0.36 % (54241)Instruction limit reached!
% 0.20/0.36 % (54241)------------------------------
% 0.20/0.36 % (54241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54241)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54241)Termination reason: Instruction limit
% 0.20/0.36 % (54241)Termination phase: Saturation
% 0.20/0.36 % (54241)Time elapsed: 0.078 s
% 0.20/0.36 % (54241)Peak memory usage: 13 MB
% 0.20/0.36 % (54241)Instructions burned: 134 (million)
% 0.20/0.36 % (54237)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% 0.20/0.36 tff(pred_def_1, type, p: ($int * $int * $int) > $o).
% 0.20/0.36 tff(f1,conjecture,(
% 0.20/0.36 ? [X0 : $int,X1 : $int] : (p(2,X1,$sum(2,X1)) => p(X0,2,$product(X0,2)))),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a)).
% 0.20/0.36 tff(f2,negated_conjecture,(
% 0.20/0.36 ~ ? [X0 : $int,X1 : $int] : (p(2,X1,$sum(2,X1)) => p(X0,2,$product(X0,2)))),
% 0.20/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.36 tff(f3,definition,(
% 0.20/0.36 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.36 introduced(theory,[tha_commutativity])).
% 0.20/0.36 tff(f16,definition,(
% 0.20/0.36 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.20/0.36 introduced(theory,[tha_right_identity])).
% 0.20/0.36 tff(f18,definition,(
% 0.20/0.36 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.20/0.36 introduced(theory,[tha_distributivity])).
% 0.20/0.36 tff(f21,plain,(
% 0.20/0.36 ! [X0 : $int,X1 : $int] : (~p(X0,2,$product(X0,2)) & p(2,X1,$sum(2,X1)))),
% 0.20/0.36 inference(ennf_transformation,[],[f2])).
% 0.20/0.36 tff(f22,plain,(
% 0.20/0.36 ( ! [X1 : $int] : (p(2,X1,$sum(2,X1))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f21])).
% 0.20/0.36 tff(f23,plain,(
% 0.20/0.36 ( ! [X0 : $int] : (~p(X0,2,$product(X0,2))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f21])).
% 0.20/0.36 tff(f25,plain,(
% 0.20/0.36 ( ! [X0 : $int] : (p(X0,2,$product(X0,2))) )),
% 0.20/0.36 inference(consistent_polarity_flipping,[],[f23])).
% 0.20/0.36 tff(f26,plain,(
% 0.20/0.36 ( ! [X1 : $int] : (~p(2,X1,$sum(2,X1))) )),
% 0.20/0.36 inference(consistent_polarity_flipping,[],[f22])).
% 0.20/0.36 tff(f33,plain,(
% 0.20/0.36 ( ! [X0 : $int] : (~p(2,X0,$sum(X0,2))) )),
% 0.20/0.36 inference(superposition,[],[f26,f3])).
% 0.20/0.36 tff(f126,plain,(
% 0.20/0.36 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
% 0.20/0.36 inference(superposition,[],[f18,f16])).
% 0.20/0.36 tff(f884,plain,(
% 0.20/0.36 ( ! [X0 : $int] : ($product(X0,$sum(1,1)) = $sum(X0,X0)) )),
% 0.20/0.36 inference(superposition,[],[f126,f16])).
% 0.20/0.36 tff(f913,plain,(
% 0.20/0.36 ( ! [X0 : $int] : ($product(X0,2) = $sum(X0,X0)) )),
% 0.20/0.36 inference(evaluation,[],[f884])).
% 0.20/0.36 tff(f2810,plain,(
% 0.20/0.36 ( ! [X0 : $int] : (p(X0,2,$sum(X0,X0))) )),
% 0.20/0.36 inference(superposition,[],[f25,f913])).
% 0.20/0.36 tff(f3195,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(resolution,[],[f2810,f33])).
% 0.20/0.36 % SZS output end Proof for theBenchmark
% 0.20/0.36 % (54237)------------------------------
% 0.20/0.36 % (54237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (54237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (54237)CaDiCaL version: 2.1.3
% 0.20/0.36 % (54237)Termination reason: Refutation
% 0.20/0.36 % (54237)Time elapsed: 0.077 s
% 0.20/0.36 % (54237)Peak memory usage: 13 MB
% 0.20/0.36 % (54237)Instructions burned: 130 (million)
% 0.20/0.36 % (54231)Success in time 0.122 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------