%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:31:22 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.35s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 27 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 14 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f2,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f6,axiom,
! [X0] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_times(X0,X1,X2) = c_times(X1,X0,X2) ),
inference(resolution,[],[f3,f6]) ).
fof(f8,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(resolution,[],[f7,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_times(X0,c_times(X1,X2,X3),X3) = c_times(X1,c_times(X0,X2,X3),X3) ),
inference(resolution,[],[f4,f6]) ).
fof(f10,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f5,f2]) ).
fof(f15,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(resolution,[],[f9,f2]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : c_times(X1,c_times(X3,c_times(X0,X2,t_b),t_b),t_b) = c_times(X3,c_times(X0,c_times(X1,X2,t_b),t_b),t_b),
inference(superposition,[],[f15,f15]) ).
fof(f33,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(superposition,[],[f1,f15]) ).
fof(f35,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(c_times(X0,X2,t_b),X1,t_b),
inference(superposition,[],[f8,f15]) ).
fof(f36,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f33,f8]) ).
fof(f38,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f36,f26]) ).
fof(f40,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f38,f8]) ).
fof(f42,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f40,f10]) ).
fof(f44,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),
inference(forward_demodulation,[],[f42,f35]) ).
fof(f46,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f44,f8]) ).
fof(f47,plain,
$false,
inference(trivial_inequality_removal,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n014.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 20:33:15 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.35 % (2135867)Will run a generic schedule for satisfiability detection.
% 0.25/0.35 % (2135873)% WARNING: option uhcvi not known.
% 0.25/0.35 % (2135878)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2544390541:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.35 % (2135876)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=646279945:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.35 % (2135872)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3858202195_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.35 % (2135873)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1085614639:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.35 % (2135876) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2135867-2135876"...
% 0.25/0.35 % TRYING [1]
% 0.25/0.35 % TRYING [2]
% 0.25/0.35 % (2135876)...printing done.
% 0.25/0.35 % (2135874)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2523688255:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.35 % TRYING [3]
% 0.25/0.35 % (2135875)dis+10_1_sil=32000:sp=arity:random_seed=180085588:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.35 % (2135876)Refutation found. Thanks to Tanya!
% 0.25/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.35 % (2135876)------------------------------
% 0.25/0.35 % (2135876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.35 % (2135876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.35 % (2135876)CaDiCaL version: 2.1.3
% 0.25/0.35 % (2135876)Termination reason: Refutation
% 0.25/0.35 % (2135876)Time elapsed: 0.003 s
% 0.25/0.35 % (2135876)Peak memory usage: 12 MB
% 0.25/0.35 % (2135876)Instructions burned: 3 (million)
% 0.25/0.35 % (2135867)Success in time 0.042 s
% 0.25/0.35 % Vampire exiting
%------------------------------------------------------------------------------